4764672000 has 672 divisors, whose sum is σ = 19137441024. Its totient is φ = 1130496000.

The previous prime is 4764671993. The next prime is 4764672037. The reversal of 4764672000 is 2764674.

4764672000 is a `hidden beast` number, since 4 + 7 + 646 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101375977 + ... + 101376023.

Almost surely, 2^4764672000 is an apocalyptic number.

4764672000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4764672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9568720512).

4764672000 is an abundant number, since it is smaller than the sum of its proper divisors (14372769024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4764672000 is a wasteful number, since it uses less digits than its factorization.

4764672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4764672000 is about 69026.6035670306. The cubic root of 4764672000 is about 1682.7166929599.

The spelling of 4764672000 in words is "four billion, seven hundred sixty-four million, six hundred seventy-two thousand".